t^6 – 125 =
(t^2)^3 – 5^3
From the special product rule a^3 – b^3 = (a – b)(a^2 + ab + b^2)
So we have (t^2 – 5)(t^4 + 5t^2 + 25)

Question

asked 2021-02-15

Factor the polynomial.
t^4 - 1

asked 2021-01-27

Factor the polynomial
25t^2 + 90t + 81

asked 2020-10-31

Factor the polynomial.
r^4 – 81

asked 2021-01-31

Please, factor this polynomial: x^3 + 1

asked 2021-02-11

For the following polynomial, P(x) = x^6 – 2x^2 – 3x^7 + 7, find:
1) The degree of the polynomial,
2) The leading term of the polynomial,
3) The leading coefficient of the polynomial.

asked 2021-02-01

Add the polynomials: (t^2 – 4t + t^4) + (3t^4 + 2t + 6)

asked 2021-01-19

Factor the trinomial. Note that the coefficient of \(\displaystyle{x}^{{2}}\) is not equal to 1.
\(\displaystyle{4}{x}^{{2}}–{3}{x}={10}.\)

asked 2020-12-25

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial, write and factor the trinomial.

\(\displaystyle{x}^{{2}}−{3}{x}.\)

\(\displaystyle{x}^{{2}}−{3}{x}.\)

asked 2020-12-22

For the following polynomial, P(x) =x^3 – 2x^2 + 4x^5 + 7, what is:
1) The degree of the polynomial,
2) The leading term of the polynomial,
3) The leading coefficient of the polynomial.

asked 2021-01-04

The polynomial \(\displaystyle{y}=-{0.79}{x}^{{4}}+{3}{x}^{{3}}+{27.3}\) describes the billions of flu virus particles in a person’s body x days after being infected. Find the number of virus particles, in billions, after 1 day.